On the equivariant cohomology of isotropy actions

On the equivariant cohomology of isotropy actions

Let G be a compact connected Lie group and K \subseteq G a closed subgroup. We show that the isotropy action of K on G/K is equivariantly formal and that the space G/K is formal in the sense of rational homotopy theory whenever K is the identity component of the intersection of the fixed point sets...

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Autore principale: Hagh Shenas Noshari, Sam
Altri autori: Goertsches, Oliver (Prof. Dr.) (Relatore della tesi)
Natura: Dissertation
Lingua:inglese
Pubblicazione: Philipps-Universität Marburg 2018
Soggetti:
Äquivariante Kohomologietheorie
Differentialgeometrie
Mathematik
Symmetric space
equivariant cohomology
Lie-Gruppe
cohomology
Symmetrischer Raum
differential geometry
Lie-Algebra
Kohomologie
Lie group
Lie algebra
Mathematics
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